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Dimas [21]
2 years ago
15

2. (02.01 LC) 2x - 20 Solve: 2x = 20 = 2x

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
6 0
The answer is x = 10
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The solution set of 2-3x/4-8=3x/4​
deff fn [24]

Step-by-step explanation:

\\ \tt{:}\leadsto  \frac{2 - 3x}{4 - 8} =  \frac{3x}{4}   \\ \\ \tt{:}\leadsto 4(2 - 3x) = 3x(4 - 8) \\ \\ \tt{:}\leadsto 8 - 12x = 3x( - 4) \\ \\  \tt{:}\leadsto 8 - 2x =   - 12x \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\ \\ \tt{:}\leadsto 8 =  - 12x + 2x \\ \\ \tt{:}\leadsto 8 =  - 10x \\ \\ \tt{:}\leadsto x =  \frac{ - 10}{8}  \\ \\ \tt{:}\leadsto x =  \frac{ - 5}{4}

6 0
2 years ago
Read 2 more answers
Three fifths of the members of a hiking club went on the last hiking trip. If 39 people went on the trip , how many are in the c
finlep [7]

Step-by-step explanation:

1. Since 39 is 3/5 of the club, divide by 3 to get 1/5 of the club

2. 1/5 of the club is 13 people

3. Multiply 13 by 5 to get 5/5 of the club (which is the whole club)

4. The whole club is 65 people

5. You can check it because 65×3/5=39

4 0
2 years ago
Simplify: (25 + 17) – |37 – 13| A. 15 B. 18 C. 20 D. 21
vaieri [72.5K]

First we solve modulus

| 37-13| =|24|= 24

Now solving Bracket

25+17 = 42

Therefore, 42 - 24 = 18

3 0
3 years ago
Read 2 more answers
A piggy bank contains pennies, nickels, and dimes. The number of dimes is 15 more than the number of nickels, and there are 140
amm1812

Answer:

Option D is correct.

There are 34 nickels in the piggy bank.

Step-by-step explanation:

A piggy bank contains pennies, nickels and dimes.

Let the number of pennies be p

Let the number of nickels be n

Let the number of dimes be d

Also, note that 1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

- The number of dimes is 15 more than the number of nickels.

d = 15 + n

- There are 140 coins altogether totaling $7.17.

p + n + d = 140

0.01p + 0.05n + 0.1d = 7.17

Bringing the 3 equations together

d = 15 + n (eqn 1)

p + n + d = 140 (eqn 2)

0.01p + 0.05n + 0.1d = 7.17 (eqn 3)

Substitute (eqn 1) into (eqn 2)

p + n + d = 140

p + n + (15 + n) = 140

p + 2n + 15 = 140

p = 140 - 15 - 2n = 125 - 2n

p = 125 - 2n (eqn 4)

Substitute (eqn 1) and (eqn 4) into (eqn 3)

0.01p + 0.05n + 0.1d = 7.17

0.01(125 - 2n) + 0.05n + 0.1(15 + n) = 71.7

1.25 - 0.02n + 0.05n + 1.5 + 0.1n = 7.17

0.1n + 0.05n - 0.02n + 1.5 + 1.25 = 7.17

0.13n + 2.75 = 7.17

0.13n = 7.17 - 2.75 = 4.42

0.13n = 4.42

n = (4.42/0.13) = 34

d = 15 + n = 15 + 34 = 49

p = 125 -2n = 125 - (2×34) = 125 - 68 = 57

Hence, there are 57 pennies, 34 nickels and 49 dimes in the piggy bank.

Hope this Helps!!!

7 0
3 years ago
In the sequence below, a, = 9. Which of the following would be the correct way to label the 3 in the
zysi [14]

Answer:

Step-by-step explanation:3,9,27,81 because this is multiplication

8 0
3 years ago
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